Question

Using the greatest common factor (GCF), what is the factored form of 18F - 45?

a) 3(6F - 15)
b) 9(2F - 5)
c) 2(9F - 11)
d) 18(F - 5)

Answer 1

The correct factored form of 18F - 45 using the Greatest Common Factor is 9(2F - 5).

Step-by-step explanation:

To factor the expression 18F - 45 using the Greatest Common Factor (GCF), we need to find the highest number that divides both 18 and 45 without a remainder. The GCF of 18 and 45 is 9. So, we can factor out 9 from both terms.

Step-by-step, the factoring looks like this:

1. Identify the GCF of 18 and 45, which is 9.
2. Divide both terms by 9: 18F becomes 2F and -45 becomes -5.
3. Write the factored form as 9(2F - 5).

The correct factored form is b) 9(2F - 5).